Question

[0,(1)+0,(2)+0,(3)+0,(4)]÷10​

Answer 1

Răspuns:

1/9 = 0.(1)

Explicație pas cu pas:

0.(1)=1/9

0.(2)=2/9

0.(3)=3/9 (lasam asa, nu simplificam)

0.(4)=4/9.

Le adunam:

(1/9+2/9+3/9+4/9):10=(10/9):10=1/9=0.(1)

Answer 2

$\it =\dfrac{1+2+3+4}{9}\cdot\dfrac{1}{10}=\dfrac{10}{9}\cdot\dfrac{1}{10}=\dfrac{1}{9}$